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Simplifying 3(4r + 12) = 8(3r + -9) Reorder the terms: 3(12 + 4r) = 8(3r + -9) (12 * 3 + 4r * 3) = 8(3r + -9) (36 + 12r) = 8(3r + -9) Reorder the terms: 36 + 12r = 8(-9 + 3r) 36 + 12r = (-9 * 8 + 3r * 8) 36 + 12r = (-72 + 24r) Solving 36 + 12r = -72 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 36 + 12r + -24r = -72 + 24r + -24r Combine like terms: 12r + -24r = -12r 36 + -12r = -72 + 24r + -24r Combine like terms: 24r + -24r = 0 36 + -12r = -72 + 0 36 + -12r = -72 Add '-36' to each side of the equation. 36 + -36 + -12r = -72 + -36 Combine like terms: 36 + -36 = 0 0 + -12r = -72 + -36 -12r = -72 + -36 Combine like terms: -72 + -36 = -108 -12r = -108 Divide each side by '-12'. r = 9 Simplifying r = 9
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